(5x-15)(15x-5)=0

Simple and best practice solution for (5x-15)(15x-5)=0 equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for (5x-15)(15x-5)=0 equation: 


Simplifying
(5x + -15)(15x + -5) = 0

Reorder the terms:
(-15 + 5x)(15x + -5) = 0

Reorder the terms:
(-15 + 5x)(-5 + 15x) = 0

Multiply (-15 + 5x) * (-5 + 15x)
(-15(-5 + 15x) + 5x * (-5 + 15x)) = 0
((-5 * -15 + 15x * -15) + 5x * (-5 + 15x)) = 0
((75 + -225x) + 5x * (-5 + 15x)) = 0
(75 + -225x + (-5 * 5x + 15x * 5x)) = 0
(75 + -225x + (-25x + 75x2)) = 0

Combine like terms: -225x + -25x = -250x
(75 + -250x + 75x2) = 0

Solving
75 + -250x + 75x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '25'.
25(3 + -10x + 3x2) = 0

Factor a trinomial.
25((1 + -3x)(3 + -1x)) = 0

Ignore the factor 25.

Subproblem 1
Set the factor '(1 + -3x)' equal to zero and attempt to solve:

Simplifying
1 + -3x = 0

Solving
1 + -3x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-1' to each side of the equation.
1 + -1 + -3x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -3x = 0 + -1
-3x = 0 + -1

Combine like terms: 0 + -1 = -1
-3x = -1

Divide each side by '-3'.
x = 0.3333333333

Simplifying
x = 0.3333333333

Subproblem 2
Set the factor '(3 + -1x)' equal to zero and attempt to solve:

Simplifying
3 + -1x = 0

Solving
3 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-3' to each side of the equation.
3 + -3 + -1x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = 0 + -3
-1x = 0 + -3

Combine like terms: 0 + -3 = -3
-1x = -3

Divide each side by '-1'.
x = 3

Simplifying
x = 3
Solution
x = {0.3333333333, 3}

See similar equations:

| .10x+.25y=12.10 | | -16+b=7 | | 3+12=124+x | | h-91=-28 | | n-6=10 | | y+27=87 | | 19+13x=13x-81 | | x^2+16=-20 | | 28x+27=-42x-6 | | 25a-22=-4(1-6a) | | 12x-141=4x-13 | | 5*8x=33 | | g-25=4 | | 4x-2(x+1)-8=0 | | 11+7=3x-9 | | 1(5y-3)+5y=9 | | 12y^2+64y-48= | | 2.7x+6-5.7x=9 | | -6u=-96 | | -7x+15=-11x-10 | | 90+90+90+16x-6=360 | | 33-4x=5x+19 | | 54+9s-3s^2= | | (5y-3)+5y=9 | | -3x-7=-7x-15 | | 26=-w | | 300x-0.33=100x+0.97 | | x^2+5x+16=0 | | 72+15s-3s^2= | | 90+90+98+17x-3=360 | | y=60x+800 | | -26=j-90 |

Equations solver categories